Water Hammer Analysis and Parameter Estimation in Polymer Pipes with Weak Strain-Rate Feedback

AbstractA closed-form, multiple-scales, analytic approximation of a Kelvin-Voight viscoelastic model is developed to describe water hammer pressure wave attenuation in polymer pipe. The analytical results show that the evolution of water hammer for the single-pipe experiment considered in this paper is described by the Kelvin-Voight model as a weak strain-rate feedback occurring over three timescales. The wave transit and frictional timescales are augmented by a third intermediate timescale governed by the weakness of the strain-rate feedback. The scaling analysis also shows that, for weak strain-rate feedback, it is possible to use an optimization approach to estimate the scale of Kelvin-Voight parameters without experimental data. The optimal choice for weakness of the strain-rate feedback also determines the extent to which a weak strain-rate feedback description may be appropriate to describe an experimental design.

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